[Bug] Browser extension connects to Claude.app native host instead of Claude Code

When both Claude Code and the Claude desktop app are installed, the Chrome extension connects to the Claude.app native host instead of the Claude Code one, breaking Claude Code's browser automation.

Root cause

• Claude.app installs com.anthropic.claude_browser_extension.json
• Claude Code installs com.anthropic.claude_code_browser_extension.json
• Both allow the same extension ID (fcoeoabgfenejglbffodgkkbkcdhcgfn)
• Chrome appears to pick claude_browser_extension (alphabetically first?)
• Claude Code's MCP expects to connect via the socket created by its native host, but the extension connects to Claude.app's host instead

Symptoms

• tabs_context_mcp returns "Browser extension is not connected"
• Extension errors show "Could not establish connection. Receiving end does not exist."
• Native host process shows Claude.app path, not Claude Code path

Workaround

Remove ~/Library/Application Support/Google/Chrome/NativeMessagingHosts/com.anthropic.claude_browser_extension.json

Expected

Both should coexist, or the extension should connect to whichever Claude instance is active/requesting.

Environment

macOS, Chrome, Claude Code 2.1.19, Claude.app installed